远程态制备与玻色－爱因斯坦凝聚原子系统中的三模量子纠缠
文献类型：学位论文
| 作者 | 刘金明 |
| 学位类别 | 博士后 |
| 答辩日期 | 2004 |
| 授予单位 | 中国科学院上海光学精密机械研究所 |
| 导师 | 王育竹 |
| 关键词 | 量子纠缠，投影测量，玻色一爱因斯坦凝聚体，剩余纠缠。 |
| 其他题名 | Remote state preparation and three-mode quantum entanglement in atomic Bose-Einstein condensate |
| 中文摘要 | 这个报告包含两部分的内容:遥远态制备与玻色一爱因斯坦凝聚原子系综中的三模量子纠缠。第一部分由第二章至第五章组成。凭借两对纠缠粒子作为量子通道，在第二章我们提出了一种遥远制备两体两维纠缠态的新方案，并将其直接推广到远程制备两体高维赤道纠缠态的情形。结果表明，利用两粒子的正交投影测量，我们能够完美地实现两体任意正整数维赤道纠缠态的遥远制备。通过使用w态作为量子通道以及引入一个辅助粒子，在第三章我们提出了一种概率远程态制备方案。该方案由一个发送者和两个接收者组成。在发送者对其所拥有的粒子实施一个单体正交测量后，两个接收者中的任何一个都能够以相应的成功几率遥远制备初始量子比特。我们指出，一些特定量子比特可以成功地远程制备，而且整个过程只需要两个经典比特。使用纠缠交换方法，凭借N对两体EPR态作为量子通道，在第四章我们给出了一种遥远制备多粒子纠缠纯态的新方案。结果表明，使用N个比特的经典信息和一个N粒子联合正交测量，远程制备一些特定的N粒子纠缠纯态可以成功地得到实现。在第五章我们提出了两种多粒子高维赤道纠缠态的遥远制备方案，其中第一种方案使用多粒子联合投影测量，而第二种方案则使用单粒子正交测量。我们证明，不论粒子数N和维数d是多，这两个远程态制备方案都能够以单位几率成功地得以执行。报告的第二部分由第六章组成。利用原子间的交叉弹性碰撞效应，我们在对称的三势阱中获得了一个三模玻色一爱因斯坦凝聚体的量子纠缠态。接着，使用两体量子比特生成纠缠的计算方法，我们得到了该三模BEC纠缠态的剩余纠缠度。 |
| 英文摘要 | This report consists of two parts: remote state preparation and three -mode entanglement of an atomic Bose-Einstein condensate in a three-well potential. The first part includes Chapters 2 to 5 in this report. With two pairs of entangled particles as the quantum channel, in Chapter 2 we present a scheme for preparing remotely a two-particle two-dimensional entangled state and generalize it to higher-dimensional cases. It is shown that remote preparation of arbitrarily dimensional equatorial entangled states can be realized with unit probability through a two-particle projective measurement. In Chapter 3, we consider a scheme for probabilistic remote preparation of a general qubit by using W states and introducing an auxiliary particle. The scheme consists of one sender and two remote receivers. After the sender performs a projective measurement on her qubit, it allows either of the two receivers to reconstruct the state to be prepared remotely. We show that for some special ensembles of qubits, our remote state preparation requires only two classical bits. By using N pairs of bipartite EPR states as the quantum channel, in hapter 4 we present a scheme for preparing remotely a N -particle pure entangled state. It is shown that remote preparation of some specially chosen N -particle entangled states can be achieved faithfully with a N -particle orthonormal basis measurement and N bits of classical information. In Chapter 5, we give two schemes for remotely preparing multiparticle d -dimensional equatorial entangled states with unit probability. The first scheme is realized by a multiparticle projective measurement while the second scheme is achieved by a single particle orthogonal measurement. It is found that each scheme can be perfectly implemented whatsoever the particle number N and the dimension d are. Chapter 6 is the second part of this report. By controlled elastic collisions, we obtain a three-mode entangled state of an atomic Bose-Einstein condensate in a symmetric three-well potential. Then, by means of the method for calculating entanglement of formation of two qubits. |
| 语种 | 中文 |
| 源URL | [http://ir.siom.ac.cn/handle/181231/16046]  |
| 专题 | 上海光学精密机械研究所_学位论文 |
| 推荐引用方式 GB/T 7714 | 刘金明. 远程态制备与玻色－爱因斯坦凝聚原子系统中的三模量子纠缠[D]. 中国科学院上海光学精密机械研究所. 2004. |
入库方式： OAI收割
来源：上海光学精密机械研究所
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